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Finding the Third Proportional to 30.80 and 66.23

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Solution

The third proportional to 30.80 and 66.23 is: 142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.80 : 66.23 = 66.23 : x
  2. Step 2: Convert to fraction form
    30.80/66.23 = 66.23/x
  3. Step 3: Cross multiply
    30.80x = 66.23 × 66.23
  4. Step 4: Simplify right side
    30.80x = 4,386.99
  5. Step 5: Solve for x
    x = 4,386.99/30.80
  6. Step 6: Final answer
    x = 142.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.